Kerr black hole in the formalism of isolated horizons

Abstract

We revise the work of Scholtz, Flandera and Gürlebeck [Kerr-Newman black hole in the formalism of isolated horizons, Phys. Rev. D 96, 064024 (2017)]. We cast the Kerr metric explicitly in the form suitable for the framework of isolated horizons. We proceed in a geometrical fashion and are capable to provide the results in a compact closed manner, without any unevaluated integrals. We also discuss the uniqueness and drawbacks of this construction. We suggest a new vector field to generate the null geodesic foliation.

References in corpus (5)

• The Kerr Metric
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Kerr Geodesics in Terms of Weierstrass Elliptic Functions
• Analytical solution methods for geodesic motion
• Kerr-Newman black hole in the formalism of isolated horizons

Cited by in corpus (2)

• Initial data for a deformed isolated horizon
• Kerr isolated horizon revisited: Caustic-free congruence and adapted tetrad